Equation of the line which passes through the two points, Mathematics

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5).

Solution

At first glance it might not appear which we'll be capable to use the point-slope form of the line since this need a single point (we've got two) & the slope (that we don't have). However, this fact that we've got two points isn't actually a problem; actually, we can employ these two points to find out the missing slope of the line since we do know that we can always determine that from any two points on the line.

Thus, let's begin my finding the slope of the line.

                                  m = -5 - 4 / 3 - ( -2)  = - 9 /5

Now, which point have to we employ to write down the equation of the line? Actually we can use either point. To illustrate this we will use both.

First, we'll use ( -2, 4) .  Now that we've gotten the point all that we have to do is plug into the formula. We will employ the second form.

                              y = 4 - 9/5 ( x - ( -2)= ( 4 - 9/5 (x + 2)

Now, let's use (3, -5).

y = -5 - 9/5 (x - 3)

Okay, we claimed that it wouldn't matter that point we utilized in the formula, however these sure look like distinct equations.  However it turns out that these actually are the same equation. To illustrate this all that we have to do is distribute the slope through the parenthesis and then simplify.

Following is the first equation.

y = 4 - 9 /5( x + 2)

= 4 - 9/5 x - 18/5

= - (9/5) x + 2/5

Following is the second equation.

y = -5 - 9/5 ( x - 3)

= -5 - 9/5 x + 27/5

= - 9 /5x + 2/5

Thus, sure enough they are the same equation.

Posted Date: 4/6/2013 5:58:39 AM | Location : United States







Related Discussions:- Equation of the line which passes through the two points, Assignment Help, Ask Question on Equation of the line which passes through the two points, Get Answer, Expert's Help, Equation of the line which passes through the two points Discussions

Write discussion on Equation of the line which passes through the two points
Your posts are moderated
Related Questions
Example of Linear Equations: Solve the equation 2x + 9 = 3(x + 4). Solution: Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation. 2x + 9 = 3(

1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t

Can you explain why is the steepness of a curve partially calculated by the units of measurement?


a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than

un prisma retto ha per base un rombo avente una diagonale lunga 24cm. sapendo che la superficie laterale e quella totale misurano rispettivamente 2800cm e3568cm ,calcola la misura

Differences of Squares (and other even powers) ? A square monomial is a monomial which is the square of another monomial. Here are some examples: 25 is the square of 5 x 2 i

This time we are going to take a look at an application of second order differential equations. It's now time take a look at mechanical vibrations. In exactly we are going to look

Brad's class collected 320 cans of food. They boxed them in boxes of 40 cans each. How many boxes did they required? To find the number of boxes required, you should divide the